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Finding the Fourth Proportional to 355,064.96, 489,992.96 and 202,095.64

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Solution

The fourth proportional to 355,064.96, 489,992.96 and 202,095.64 is: 278,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,064.96 : 489,992.96 = 202,095.64 : x
  2. Step 2: Convert to fraction form
    355,064.96/489,992.96 = 202,095.64/x
  3. Step 3: Cross multiply
    355,064.96x = 489,992.96 × 202,095.64
  4. Step 4: Simplify right side
    355,064.96x = 99,025,440,846.69
  5. Step 5: Solve for x
    x = 99,025,440,846.69/355,064.96
  6. Step 6: Final answer
    x = 278,893.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.